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**MATHEMATICAL PAPERS IN
REFEREED JOURNALS** **(updated, June 2007)**

**56. ****Aymptotic
solutions of forced nonlinear second order differential equations and
their extensions (with K. Sadarangani)
Electron.
J. Diff. Eqns., Vol. 2007(2007), No. 40, pp. 1-40.**

**55.****
****Forced
oscillation of higher order nonlinear differential equations (with
YG. Sun)
In Press **

**54. A
complete asymptotic analysis of an oscillation free nonlinear
equation of Bessel type with a pole in the dependent variable (with
J.M. Pacheco-Castelao and S. Melkonian),
Nonlinear
Oscillations To appear (2007)**

**53.****
****A
study of fuzzy and many-valued logics in cellular automata,
J.
Cellular Automata, **

**52.
On the existence of solutions an abstract integral equation of
Chandrasekhar type in the theory of radiative transfer (with K.
Sadarangani and J. Caballero )
Electron.
J. Diff. Eqns., 2006 (2006), (57) 1-11**

**51.
The infinite product representation of solutions of Sturm-Liouville
problems with two turning points (with Ali Jodayree Akbarfam)
Arabian
J. of Science and Technology 31 (1A), (2006), 69-85**

**50.
The global evolution of general fuzzy cellular automata
J.
Cellular Automata, 1 (2) (2006), 141-164**

**49.
A glimpse into the life and times of F.V. Atkinson
Math.
Nachr , 278 (12-13) (2005), 1-29.**

**48.
Conjugate points in the gravitational n-body problem (with C. M. F.
Mingarelli)
Celestial
Mechanics and Dynamical Astronomy , 91 (2005), 391-401**

**47.
Duality for an inverse Sturm-Liouville problem (with A. Jodayree
Akbarfam)
J.
Math. Analysis Appl. 312 (2), (2005), 435-463**

**46.
Favard's Theorem for Almost Periodic Processes on Banach Space (with
Z. Hu)
Dynamic
Systems Appl., 14 (2005), 615-632.**

**45.
Nonlinear functionals in differential matrix systems oscillation and
a theorem of Sun (with S. Dubé)
J.
Math. Analysis Appl. 308 (1) (2005), 208–220 **

**44.
The uniqueness of the solution of dual equations of an inverse
indefinite Sturm-Liouville problem (with A. Jodayree Akbarfam and H.
Kheiri)
J.
Math. Analysis Appl. 306 (1) (2005), 269-281 **

**43. A
non-oscillation theorem for differential matrix systems (with
S. Dubé)
J.
Math. Analysis Appl. 306 (1) (2005), 349-363 **

**42.
Almost periodicity of solutions for evolution equations (with
Z. Hu)
Differential
and Integral Equations, 18 (4) (2005), 469-480 **

**41.
Higher order asymptotics of the eigenvalues of Sturm-Liouville
problems with a turning point of arbitrary order (with Ali Jodayree
Akbarfam)
Canad.
Applied Math. Quarterly 12 (3) (2004), 275-301**

**40.
Characterizing degenerate Sturm-Liouville problems
Electronic
J. Diff. Eqns., 2004 (130) (2004), 1-8. **

**39.
The dynamics of fuzzy cellular automata: Rule 30 (with E. Beres)
WSEAS Trans. Circuits and
Systems, 10 (3) (2004), 2211-2216. **

**38.
Note on a non-oscillation theorem of Atkinson (with S. Dubé)
Electron. J. Diff.
Eqns., Vol. 2004 (22) (2004), pp. 1-6. **

**37.
On a Theorem of Favard (with Z. Hu)
Proc.
Amer. Math. Soc.,132 (2004), 417-428. **

**36.
Nonlinear functionals in oscillation theory of matrix differential
systems
Comm. Pure Applied Analysis, 3 (1) (2004), 75-84.
**

*34.
Oscillation of Linear Hamiltonian Systems (with F. Meng)*

Proc.
Amer. Math. Soc, 131 (2003),
897-904

*32.
The canonical product of the solution of a Sturm-Liouville equation
with one turning point (with A.J. Akbarfam)*

Canad.
Applied Math. Quarterly, 8 (4) (2000), 305-320

*31.
A Generalized Inverse Eigenvalue Problem for Symmetric Matrices (with
K. Ghanbari)*

International
J. Applied Math,*.
*4,
(2) (2000),
199-209

**30.
Convergence and aperiodicity in Fuzzy Cellular Automata: Revisiting
Rule 90
(with P. Flocchini, N. Santoro and F. Geurts).
Physica
D, 142 (2000),
20-28**

**29.
On a question in almost periodic differential equations (with
Zuosheng Hu)
Proc. Amer. Math. Soc. 127 (1999), pp. 2665-2670.**

**28.
The Global Flow of the Manev Problem (with J. Delgado, F. Diacu, E.
Lacomba, V. Mioc, E. Perez, C. Stoica)
J. Math. Phys., 37,
(1996), 2748-2761**

**27.
A counter-example in the theory of almost-periodic differential
equations (with F.Q. Pu and L. Zheng)
Rocky Mtn. J. Math., 25,
(1), (1995), 437-440**

**26.
A class of maps in an algebra with indefinite metric
Proc. Amer.
Math. Soc., 121, (1994), 1177-1183**

**25.
On the zeros of certain cosine polynomials (with S.Y. Wang)
Proc.
Amer. Math. Soc., 118 (1993), 1103-1106**

**24.
A maximum principle and related problems for a Laplacian in Hilbert
Space (with S. Wang)
Differential Equations and Dynamical
Systems, 1 (1993), 23-34**

**23.
Sturm-Liouville problems and Hammerstein operators
J. Integral
Equations Appl., 4 (1992), 83-88**

**22.
Sturm-Liouville equations with Besicovitch almost-periodicity (with
A. Dzurnak)
Proc. Amer. Math. Soc., 106 (1989), 647-653**

**21.
Boundary value problems of the second order with an indefinite
weight-function (with W. Allegretto)
J. für die Reine und Ang.
Math., 398 (1989), 1-24**

**20.
Asymptotics of the number of zeros and of the eigenvalues of general
weighted Sturm-Liouville problems (with F.V. Atkinson)
J. für
die Reine und Ang. Math., 375/376 (1987), 380-393**

**19.
Riccati techniques and variational principles in oscillation theory
for linear systems (with G. Butler and L. Erbe)
Trans. Amer.
Math. Soc., 303 (1987), 263-282**

**18.
On the oscillation of almost-periodic Sturm-Liouville operators with
an arbitrary coupling constant (with S. G. Halvorsen)
Proc.
Amer. Math. Soc., 97 (1986), 279-283**

**17.
On the discrete spectra of Dirac systems (with D. Hinton, T. Read and
J. Shaw)
Proc. Edinburgh Math. Soc., 29 (1986), 367-378**

**16.
On the non-existence of positive solutions for a Schrodinger equation
with an indefinite weight-function (with W. Allegretto)
C.R.
Math. Rep. Acad. Sci. Canada, 8 (1986), 69-73**

**15.
A note on some differential inequalities
Bull. Inst. Math. Acad.
Sinica, 14 (1986), 287-288**

**14.
On the existence of conjugate points for a second order ordinary
differential equation
S.I.A.M. Journal Math. Analysis, 17
(1986), 1-6**

**13.
Propriétés oscillatoires de l'équation de Sturm-Liouville à
coéfficients presque-périodiques (with S.G. Halvorsen)
C. R.
Acad. Sci. Paris, 299 (1984), 907-909**

**12.
Oscillation of linear second order differential systems (with M.K.
Kwong, H.G. Kaper, K. Akiyama)
Proc. Amer. Math. Soc., 91
(1984), 85-91**

**11.
Some remarks on the order of an entire function associated with a
second order differential equation, II
C.R. Math. Rep. Acad.
Sci. Canada, 6 (1984), 79-83**

**10.
The non-real point spectrum of generalized eigenvalue problems
C.R.
Math. Rep. Acad. Sci. Canada, 6 (1984), 117-121**

**9.
On the existence of non-simple real eigenvalues for general
Sturm-Liouville problems
Proc. Amer. Math. Soc., 89 (1983),
457-460**

**8.
Legendre type polynomials under an indefinite inner product (with
A.M. Krall)
S.I.A.M. Journal Math. Analysis, 14 (1983), 399-402**

**7.
Laguerre type polynomials under an indefinite inner product (with
A.M. Krall)
Acta Math. Acad. Sci. Hungaricae, 40 (1982), 237-239**

**6.
On a Stieltjes version of Gronwall's inequality
Proc. Amer.
Math. Soc., 82 (1981), 249-252**

**5.
On a conjecture for oscillation of second order ordinary differential
systems
Proc. Amer. Math. Soc., 82 (1981), 593-598**

**4.
Jacobi type polynomials under an indefinite inner product (with A.M.
Krall)
Proc. Royal Soc. Edinburgh, 90A (1981), 147-153**

**3.
A limit-point criterion for a three-term recurrence relation
C.R.
Math. Rep. Acad. Sci. Canada, 3 (1981), 171-175**

**2.
An oscillation criterion for second order self-adjoint differential
systems
C.R. Math. Rep. Acad. Sci. Canada, 2 (1980), 287-290**

**1.
Some extensions of the Sturm-Picone theorem
C.R.
Math. Rep. Acad. Sci. Canada, 1 (1979), 2**

**PAPERS
IN REFEREED CONFERENCE PROCEEDINGS**

**20.
Control of fuzzy cellular automata: the case of rule 90 (with Samira
El Yacoubi)
In Press, in
Parallel Computing Technologies, V. Malyshkin Ed., Proceedings of the
9 ^{th}
International Conference on, PaCT 2007, Pereslav-Zalessky, Sept.
2007. Lecture Notes in Computer Sciences, Springer, New York, (2007)**

**19.Sturm
and Differential Equations (with J. Lutzen),
In Press, in Sturm
Bicentennial Volume, Collected
Works of J.C.F. Sturm (1803-1855)
Geneva, 2006.**

**18.
On the dynamics of some exceptional fuzzy cellular automata (with D.
Dunne)
in
El Yacoubi et al (Eds), ACRI 2006, Lecture Notes in Computer Science
4173, Springer-Verlag, Berlin, Heidelberg, 2006, 71-87.**

**17.
On the decidability of the evolution of the fuzzy cellular automaton,
FCA 184 (with S. El Yacoubi),
in
V.N.Alexandrov et al. (Eds), ICCS 2006, Part III, Lecture Notes in
Computer Science 3993, Springer-Verlag, Berlin, Heidelberg, 2006:
360-366.**

**16.
Oscillation and non-oscillation theorems for non-conjoined second
order matrix differential systems (with N. Parhi) ,
in
Proceedings of
The 2005 International Conference on Scientific Computing, CSC 2005,
Las Vegas, Nevada, USA, June 20-23,2005,
H.R.Arabnia and
G.A. Gravvanis,eds. CSREA Press. 258-265.**

**15.
The dynamics of general fuzzy cellular automata
In Proceedings
of the International
Conference on Computational Science,
Emory University, Atlanta, May 22-25, 2005. Lecture Notes in Computer
Science 3515 Springer-Verlag, New York, 2005, 351-359.**

**14.
The dynamics of fuzzy cellular automata: Rule 30. (with E. Beres)
in
Proceedings of the WSEAS Conferences on Systems Theory and Scientific
Computation, Nikos Mastorakis Ed., Puerto de la Cruz, Spain, Dec.
17-19, 2004.
World Scientific Engineering Academy and Society,
(2004) ISBN: 960-8457-06-08 on CD-ROM., pp. 1-6.**

**13.
Fuzzy rule 110 dynamics and the golden number,
in Proceedings of
the WSEAS Conferences on Systems, Nikos Mastorakis Ed., Rhodos,
Greece, World Scientific Engineering Academy and Society, Rhodes,
Greece, (2003) ISBN: 960-8052-90-4 on CD-ROM., pp. 1-6.**

**12.
An inverse matrix eigenvalue problem (with A. Alaca)
in Spectral
Theory and computational methods of Sturm-Liouville Problems,
D.B.
Hinton and P.W. Schaefer eds., Marcel Dekker, New York, (1997),
135-148**

**11.
The Manev two-body problem: Quantitative and qualitative theory
(with F.Diacu, V. Mioc and C. Stoica)
in Dynamical Systems and
Applications, World Scientific Series in Applicable Analysis,
Vol. 4, World Scientific Publishing, Singapore, 1995.**

**10.
A Laplace operator in infinite dimensional space (with S. Wang)
in
Recent trends in Differential Equations,
World Scientific Series
in Applicable Analysis, Vol. 1, World Scientific, Singapore and
Philadelphia, 1992, 431- 44**

**9.
Non-real eigenvalue estimates for boundary problems asssociated with
weighted Sturm-Liouville equations in Differential Equations and
Applications, Vol II, Ohio University Press, Athens, Ohio, 1989: 222**

**8.
A survey of the regular weighted Sturm-Liouville problem: the
non-definite case
in Applied Differential Equations, World
Scientific, Singapore and Philadelphia, 1986: 109-137**

**7.
Some remarks on a generalized eigenvalue problem
in Qualitative
Theory of Differential Equations, Department of Mathematics,
University of Alberta, 1985: 301-306**

**6.
A non-oscillation theorem for second order linear equations (with M.
Kwong and S. G. Halvorsen)
in Argonne National Laboratory
Reprint No. ANL-84-73
Argonne, Illinois, 1984: 119-122**

**5.
Some remarks on the order of an entire function associated with a
second order differential equation
in Ordinary Differential
Equations and Operators
Lecture Notes in Mathematics
1032,
Springer-Verlag, New York, 1983: 384-389**

**4.
Asymptotic distribution of the eigenvalues of indefinite
Sturm-Liouville problems
in Ordinary Differential Equations and
Operators
Lecture Notes in Mathematics 1032,
Springer-Verlag,
New York, 1983: 375-383**

**3.
On the eigenvalues of non-definite elliptic operators (with J.
Fleckinger)
in Spectral Theory of Differential Operators,
North-Holland, Amsterdam, 1983: 219-227**

**2.
Indefinite Sturm-Liouville problems
in Ordinary and Partial
Differential Equations
Lecture Notes in Mathematics
964,
Springer-Verlag, New York, 1982: 519-528**

**1.
Sturm theory in n-space
in Spectral Theory of Differential
Operators, North Holland, New York, 1981: 337-341**

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